Khan was instrumental in popularising Indian classical music in the West, both as a performer and as a teacher. He first came to America in 1955 on the invitation of violinist Yehudi Menuhin and later settled in California.[2] He was a Distinguished Adjunct Professor of Music at the University of California, Santa Cruz.[3]

From an early age Khan received training from his father in various instruments as well as vocal composition, but finally gravitated towards the sarod. Allauddin was a perfectionist and a strict taskmaster, and Khan's lessons started before dawn and often lasted 18 hours a day.[7] Khan also learned to play the tabla and the pakhavaj from his uncle, Aftabuddin Khan, who he visited at Shibpur.[8] During this period he met several prominent musicians, such as the sarodist Timir Baran and flautist Pannalal Ghosh, who came to study with his father; in later years he was joined in his lessons by his sister Annapurna Devi, who became an accomplished player of the surbahar, and fellow student Ravi Shankar. Shankar and Annapurna Devi were married in 1941.[6]

Of his training on the sarod, he wrote:

If you practice for ten years, you may begin to please yourself, after 20 years you may become a performer and please the audience, after 30 years you may please even your guru, but you must practice for many more years before you finally become a true artist—then you may please even God.[9]

Ali Akbar Khan, after years of rigorous training, gave his debut performance at a music conference in Allahabad in 1936, at the age of 13. Three years later, in December 1939, he accompanied Ravi Shankar on the sarod during the latter's debut performance at the same conference; this was the first of many jugalbandis (duets) between the two musicians. In 1938 Khan gave his first recital on All India Radio (AIR), Bombay (accompanied on the tabla by Alla Rakha), and starting in January 1940, he gave monthly performances on AIR, Lucknow. Finally in 1944, both Shankar and Khan left Maihar to start their professional careers as musicians; Shankar went to Bombay, while Khan became the youngest Music Director for AIR, Lucknow, and was responsible for solo performances and composing for the radio orchestra.[7]

In 1943, on his father's recommendation, Khan was appointed a court musician for the Maharaja of Jodhpur, Hanwant Singh.[10] There, he taught and composed music besides giving recitals and was accorded the title of Ustad by the Maharaja. When the princely states were wound down with India's independence in 1947 and Hanwant Singh died in a plane crash in 1948, Khan moved to Bombay.[7]

Beginning in 1945, Khan also started recording a series of 78 rpm disks (which could record about three minutes of music) at the HMV Studios in Bombay. For one such record he conceived a new composition Raga Chandranandan ("moonstruck"), based on four evening ragas, Malkauns, Chandrakauns, Nandakauns and Kaushi Kanada. This record was a huge success in India, and the raga found a worldwide audience when a 22-minute rendition was re-recorded for the Master Musician of IndiaLP in 1965 − one of Khan's seminal recordings.[13]